Three of the following four words are alike in a certain way and one is different. Find the odd one out.
Ellipse
Understanding Geometric Shapes and Finding the Odd One Out
This question asks us to identify the word that is different from the others in a given list of geometric shapes: Hexagon, Ellipse, Parallelogram, and Rhombus. To solve this, we need to understand the characteristics of each shape.
Analyzing Each Shape
- Hexagon: A hexagon is a polygon with six straight sides and six angles. Polygons are closed figures made up of straight line segments.
- Ellipse: An ellipse is a closed curve. It is defined as the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant. Unlike polygons, it does not have straight sides or angles.
- Parallelogram: A parallelogram is a quadrilateral (a four-sided polygon) where opposite sides are parallel and equal in length. Like a hexagon, it is formed by straight line segments.
- Rhombus: A rhombus is also a quadrilateral where all four sides are equal in length. Opposite sides are parallel, making it a special type of parallelogram. It is also formed by straight line segments.
Identifying the Difference
Let's categorize the shapes based on whether they are formed by straight lines or are curved:
- Shapes formed by straight lines (Polygons): Hexagon, Parallelogram, Rhombus
- Shapes that are curved: Ellipse
From this classification, we can see that Hexagon, Parallelogram, and Rhombus all belong to the category of polygons, which are defined by straight sides and angles. The Ellipse, on the other hand, is a curved shape and is not a polygon.
Conclusion: Finding the Odd Shape
The defining difference is that Hexagon, Parallelogram, and Rhombus are shapes made of straight lines (polygons), while an Ellipse is a curved shape. Therefore, the Ellipse is the odd one out in this group.
| Shape | Type | Description |
|---|---|---|
| Hexagon | Polygon | 6 straight sides |
| Ellipse | Curved Shape | Closed curve, no straight sides |
| Parallelogram | Polygon | 4 straight sides, opposite sides parallel |
| Rhombus | Polygon | 4 straight sides, all sides equal |
Revision Table: Key Shape Concepts
| Term | Definition | Key Feature |
|---|---|---|
| Polygon | A closed plane figure made up of straight line segments. | Straight sides and angles. |
| Quadrilateral | A polygon with four sides. | 4 straight sides. |
| Ellipse | A closed curve where the sum of the distances from any point on the curve to two fixed points (foci) is constant. | Curved, no straight sides or angles. |
Additional Information on Geometric Figures
Geometric shapes are fundamental concepts in geometry. They can be broadly classified into two-dimensional (plane figures) and three-dimensional (solid figures) shapes. The shapes in this question are all two-dimensional.
Two-dimensional shapes can be further divided:
- Polygons: These are closed shapes made entirely of straight line segments. They are named based on the number of sides (e.g., triangle - 3 sides, quadrilateral - 4 sides, pentagon - 5 sides, hexagon - 6 sides, etc.).
- Curved Shapes: These include shapes like circles, ellipses, and other freeform curves. They do not consist solely of straight line segments.
Understanding the basic definitions and properties of common geometric figures like polygons and curved shapes is crucial for solving problems involving shape classification.
Important Questions from General Knowledge Based
Select the option that is related to the third word in the same way as the second word is related to the first word.
Dermatologist : Skin : Neonatologist : ?
Select the option in which the words share the same relationship as that shared by the given pair of words.
Horses : Neigh
Select the option in which the words share the same relationship as that shared by the given pair of words.
Raj Ghat : Mahatma Gandhi
Given below are four words out of which three are alike in a certain context and one of them is inconsistent. Select the corresponding word.
Four words have been given, out of which three are alike in some manner and one is different. Select the word that is different.
